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Finding the Fourth Proportional to 2,559.75, 3,532.46 and 1,455.75

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Solution

The fourth proportional to 2,559.75, 3,532.46 and 1,455.75 is: 2,008.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,559.75 : 3,532.46 = 1,455.75 : x
  2. Step 2: Convert to fraction form
    2,559.75/3,532.46 = 1,455.75/x
  3. Step 3: Cross multiply
    2,559.75x = 3,532.46 × 1,455.75
  4. Step 4: Simplify right side
    2,559.75x = 5,142,371.37
  5. Step 5: Solve for x
    x = 5,142,371.37/2,559.75
  6. Step 6: Final answer
    x = 2,008.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.